Converting 0.213665 to a Fraction
Step-by-step explanation of how to convert 0.213665 to a fraction

Result

0.213665 =
42733
200000

Step 1: Identify the number of decimal places

The decimal 0.213665 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.213665 × 1000000 = 213665

Step 3: Write as a fraction

0.213665 =

213665
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213665 and 1000000.

GCD(213665, 1000000) = 5

Divide both the numerator and denominator by the GCD:

213665
1000000

=

213665 ÷ 5
1000000 ÷ 5

=

42733
200000
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